Ohio Revised Code Title XXV. Courts Appellate § 2501.19

Process issuing from the court of appeals shall be directed to the sheriff or other proper officer of the county where it is to be executed, who shall serve and return it according to its command. Such sheriff or other officer shall receive the same fees as such officers are entitled to receive for like services in the court of common pleas under section 311.17 of the Revised Code. Such officer shall attend upon the court during any session in his county.

The performance of such duties by the sheriff or other officer may be enforced by the court.